Answer: The two triangles in the diagram are similar and therefore the corresponding ... If the vectors and are parallel there exists a number r such that = r∙ .
Step-by-step explanation: i hope this very is helpful Not only that it is because i want you to proceed a good grade!!!!!!
Answer:
See below ~
Step-by-step explanation:
There are 4 possible solutions :
<u>m = 4</u>
<u>m = 5</u>
<u>m = 6</u>
<u>m = 7</u>
A) Sub g(x) and h(x) into the equation:
x^2 + 3x - 40 - (-x -3)
= x^2 + 3x - 40 +x + 3
= x^2 + 4x - 37
Find x:
x= 4.40 and x= -8.40
b) Sub f(x) and g(x) into the equation:
(x^2 - 64) / (x^2 + 3x -40)
= ((x+8) x (x-8)) / ((x+8) x (x-5))
= (x - 8) / (x-5)
Find x:
x= 8 and x = 5
How to get those number:
(x^2 - 64) = x^2 - 8^2 = (x-8) x (x+8)
( x^2 + 3x - 40) = (x^2 + +8x - 5x - 40) = x( x + 8) - 5( x + 8) = (x-5) x (x+8)
Try to do c and d :)
The average score is 500 points and the standard deviation is 50 points.Mean - 2 SD = 500 - 2 * 50 = 500 - 100 = 400It means that more than 400 on the standardized test is more than: Mean - 2 Standard deviations.For the Normal distribution: 100% - 2.5 % = 97.5% = 0.975.Answer: The probability that student scores more than 400 points is 0.975.
Answer:
14 mph
Step-by-step explanation: